A student has $1 bills and $5 bills in his wallet. He had a total of 15 bills that are worth $47. How many of each type does he have?

The number of $1 bills are 7 and $5 bills are 8.

Solution:

Given, A student has $1 bills and $5 bills in his wallet.

He had a total of 15 bills that are worth $47.

We have to find how many of each type does he have?

Let the number of $1 bills be n then number of $5 bills be 15 - n.

And, according to given information, $1 x n + $5 x (15 - n) = $47

n + 5 x 15 - 5n = 47

n - 5n = 47 - 75

-4n = - 28

4n = 28

n = 7

Then, number of $5 bills = 15 - 7 = 8.

Hence, the number of $1 bills are 7 and $5 bills are 8.